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Finding the Third Proportional to 54,025.73 and 83,960.30

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Solution

The third proportional to 54,025.73 and 83,960.30 is: 130,480.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,025.73 : 83,960.30 = 83,960.30 : x
  2. Step 2: Convert to fraction form
    54,025.73/83,960.30 = 83,960.30/x
  3. Step 3: Cross multiply
    54,025.73x = 83,960.30 × 83,960.30
  4. Step 4: Simplify right side
    54,025.73x = 7,049,331,451.34
  5. Step 5: Solve for x
    x = 7,049,331,451.34/54,025.73
  6. Step 6: Final answer
    x = 130,480.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.